caa a22 4500 469068388 CHVBK 20180323132914.0 cr unu---uuuuu 170328e19920201xx s 000 0 eng 10.1007/BF02764803 doi (NATIONALLICENCE)springer-10.1007/BF02764803 Payá Rafael Departmento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071, Granada, Spain aut A counterexample on numberical radius attaining operators [Elektronische Daten] [Rafael Payá] We answer a question posed by B. Sims in 1972, by exhibiting an example of a Banach spaceX such that the numerical radius attaining operators onX are not dense. Actually,X is an old example used by J. Lindenstrauss to solve the analogous problem for norm attaining operators, but the proof for the numerical radius seems to be much more difficult. Our result was conjectured by C. Cardassi in 1985. The Magnes Press, 1992 Israel Journal of Mathematics Springer-Verlag 79/1(1992-02-01), 83-101 0021-2172 79:1<83 1992 79 11856 https://doi.org/10.1007/BF02764803 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02764803 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Payá Rafael Departmento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071, Granada, Spain aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer-Verlag 79/1(1992-02-01), 83-101 0021-2172 79:1<83 1992 79 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer